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Finding the Fourth Proportional to 108.27, 162.30 and 77.04

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Solution

The fourth proportional to 108.27, 162.30 and 77.04 is: 115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.27 : 162.30 = 77.04 : x
  2. Step 2: Convert to fraction form
    108.27/162.30 = 77.04/x
  3. Step 3: Cross multiply
    108.27x = 162.30 × 77.04
  4. Step 4: Simplify right side
    108.27x = 12,503.59
  5. Step 5: Solve for x
    x = 12,503.59/108.27
  6. Step 6: Final answer
    x = 115.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.